| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
If the base of this triangle is 1 and the height is 8, what is the area?
| 4 | |
| 40 | |
| 66 | |
| 84 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 1 x 8 = \( \frac{8}{2} \) = 4
Find the value of a:
8a + z = 2
7a + 8z = 2
| -\(\frac{1}{4}\) | |
| -\(\frac{2}{9}\) | |
| \(\frac{14}{57}\) | |
| -3 |
You need to find the value of a so solve the first equation in terms of z:
8a + z = 2
z = 2 - 8a
then substitute the result (2 - 8a) into the second equation:
7a + 8(2 - 8a) = 2
7a + (8 x 2) + (8 x -8a) = 2
7a + 16 - 64a = 2
7a - 64a = 2 - 16
-57a = -14
a = \( \frac{-14}{-57} \)
a = \(\frac{14}{57}\)
Solve for a:
-2a - 7 < -3 + 2a
| a < \(\frac{6}{7}\) | |
| a < \(\frac{2}{3}\) | |
| a < -1\(\frac{2}{7}\) | |
| a < -1 |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
-2a - 7 < -3 + 2a
-2a < -3 + 2a + 7
-2a - 2a < -3 + 7
-4a < 4
a < \( \frac{4}{-4} \)
a < -1
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
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right, obtuse, acute |
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right, acute, obtuse |
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acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
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squaring |
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deconstructing |
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factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.